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Colt1911 [192]
3 years ago
11

Re-write the quadratic function below in Standard Form y = -(x – 3)2 +8

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Expanding by FOIL (First Inside Outside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define equation</u>

y = -(x - 3)² + 8

<u>Step 2: Rewrite</u>

  1. Expand [FOIL]:                    y = -(x² - 6x + 9) + 8
  2. Distribute -1:                        y = -x² + 6x - 9 + 8
  3. Combine like terms:           y = -x² + 6x - 1
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Rewrite -4/15 as an equivalent fraction
timofeeve [1]

(\frac{-4}{5} ) in the form of Equivalent Fraction can be written as \frac{-4x}{15x}, where "x" is any integer.

As per the question statement, we are provided with a fraction, (\frac{-4}{5} ).

We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.

To solve this question, we need to know what an equivalent fraction is.

Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.

For example, (\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8}) all equate to \frac{1}{2} when simplified.

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i.e., the equivalent fractions of (\frac{-4}{5} ) are in the form of  \frac{-4x}{15x}, where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)

  • Fractions: In mathematics, a fraction is a numerical entity that is not a whole number.

To learn more about fractions, click on the link below.

brainly.com/question/17912

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